A Generative Theory of Shape

• Main Author: Leyton, Michael (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Edition: 1st ed. 2001.
• Series: Lecture Notes in Computer Science, 2145
• Subjects: Optical data processing.; Geometry.; Application software.; Computer graphics.; Group theory.; Computer-aided engineering.; Image Processing and Computer Vision.; Computer Applications.; Computer Graphics.; Group Theory and Generalizations.; Computer-Aided Engineering (CAD, CAE) and Design.

The purpose of this book is to develop a generative theory of shape that has two properties we regard as fundamental to intelligence -(1) maximization of transfer: whenever possible, new structure should be described as the transfer of existing structure; and (2) maximization of recoverability: the...

Table of Contents:

• Transfer
• Recoverability
• Mathematical Theory of Transfer, I
• Mathematical Theory of Transfer, II
• Theory of Grouping
• Robot Manipulators
• Algebraic Theory of Inheritance
• Reference Frames
• Relative Motion
• Surface Primitives
• Unfolding Groups, I
• Unfolding Groups, II
• Unfolding Groups, III
• Mechanical Design and Manufacturing
• A Mathematical Theory of Architecture
• Solid Structure
• Wreath Formulation of Splines
• Wreath Formulation of Sweep Representations
• Process Grammar
• Conservation Laws of Physics
• Music
• Against the Erlanger Program.